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Finding the Third Proportional to 450,680 and 979,840

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Solution

The third proportional to 450,680 and 979,840 is: 2,130,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,680 : 979,840 = 979,840 : x
  2. Step 2: Convert to fraction form
    450,680/979,840 = 979,840/x
  3. Step 3: Cross multiply
    450,680x = 979,840 × 979,840
  4. Step 4: Simplify right side
    450,680x = 960,086,425,600
  5. Step 5: Solve for x
    x = 960,086,425,600/450,680
  6. Step 6: Final answer
    x = 2,130,306.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.